Answer:
y = -3x + 7
Step-by-step explanation:
The equation of a line
y = mx + c
y - intercept point y
m - slope of the line
x - intercept point x
c - intercept point of the line
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given two points
( 1 , 4) ( 2 , 1)
x1 = 1
y1 = 4
x2 = 2
y2 = 1
insert the values
m = 1 - 4 / 2 - 1
m = -3/1
m = -3
y = -3x + c
Step 2: substitute any of the two points given into the equation of a line
y = -3x + c
( 1 ,4)
x = 1
y = 4
4 = -3(1) + c
4 = -3 + c
4 + 3 = c
c = 7
Step 3: sub c into the equation
y = -3x + 7
The equation of the line is
y = -3x + 7
log was used calculate big numbers before calculators
log is a re-arranged way to show a number with an exponent
example
log₂ 16 = 4 means 2^4 = 16
logx(Z) = y means x^y=Z
log(x-6)/log(2) + log(x)/log(2) = 4
(log(x-6)+ log(x))/log(2) = 4
(log(x-6)+ log(x)) = 4log(2)
(log(x-6)x) = log(16)
x=8
Answer:
c. Weights of babies are normally distributed
Step-by-step explanation:
The research has been conducted to identify the weight of new born babies in comparison to the weight of their mother. The samples are collected from young mothers who are at age of 16 to 18. The babies average weight turned out to be 7.3 pounds. It is assumed that the weight of babies is normally distributed.
Answer:
y=1/5x+11/5
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y-y^1=m(x-x^1) to find line parallel to -x+5y=1
Hope this helps
